Problems 61-70 refer to the following transition matrix P and its powers A B C P = A B C .6 .3 .1 .2 .5 .3 .1 .2 .7 A B C P 2 = A B C .43 .35 .22 .25 .37 .38 .17 .27 .56 A B C P 3 = A B C .35 .348 .302 .262 .336 .402 .212 .298 .49 Find the probability of going from state C to state A in three trials.
Problems 61-70 refer to the following transition matrix P and its powers A B C P = A B C .6 .3 .1 .2 .5 .3 .1 .2 .7 A B C P 2 = A B C .43 .35 .22 .25 .37 .38 .17 .27 .56 A B C P 3 = A B C .35 .348 .302 .262 .336 .402 .212 .298 .49 Find the probability of going from state C to state A in three trials.
Solution Summary: The author calculates the probability of going from the state C to state A in three trials if the transition matrix P and its powers are given.
Problems 61-70 refer to the following transition matrix
P
and its powers
A
B
C
P
=
A
B
C
.6
.3
.1
.2
.5
.3
.1
.2
.7
A
B
C
P
2
=
A
B
C
.43
.35
.22
.25
.37
.38
.17
.27
.56
A
B
C
P
3
=
A
B
C
.35
.348
.302
.262
.336
.402
.212
.298
.49
Find the probability of going from state
C
to state
A
in three trials.
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
2
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